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deff fn [24]
3 years ago
15

A car dealership pays a wholesale price of $12,000 to purchase a vehicle. The car dealership wants to make a 32% profit. The dea

lership offers a 10% discount off the price. How much would will a customer pay for this vehicle?
Mathematics
1 answer:
Aneli [31]3 years ago
3 0

Answer:

$14,256

Step-by-step explanation:

12,000 x .32 = 3840

12,000 + 3840 = 15,840

15,840 x .10 = 1584

15840 - 1584 = 14,256

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An object is thrown straight up from the top of a 100-foot platform at a velocity of 48 feet per second. The height h(t) of the
julsineya [31]

Answer:

  • The maximum height is 136 ft
  • The time it takes to achieve this height is 1.5 s.

Explanation:

<u>1. Function for the height (given):</u>

    h(t)=-16t^2+48t+100

<u />

<u>2. Type of function</u>

That is a quadatic function, whose graph is a parabola that opens downward.

The maximum of the function, i.e. the maximum height, is the vertex of the parabola.

The vertex of a parabola with the genral equation   y=ax^2+bx+c  is at the x-coordinate

                       x=-b/(2a)

<u>3. Time to achieve the maximum height</u>

Substitute b with 48 and a with - 16:

        t=-48/(2(-16))=48/32=3/2=1.5

Then, time when the object achieves the maximum height it 1.5s

<u />

<u>4. Maximum height:</u>

Replace t with 1.5 in the equation, to find the maximum height, h(1.5)

     h(1.5)=-16(1.5)^2+48(1.5)+100=136

Then, the maximum height is 136 ft

3 0
3 years ago
Please help asap 18 pts + brainliest to right/best answer
saul85 [17]

Which two numbers add up to -29 and multiply to 100?

-25 and -4

Rewrite the expression

<u>(x - 25)(x - 4)</u>

7 0
3 years ago
Jada walks to school. The function D givers her distance from school, in meters, t minutes since she left home. Which equation t
kolbaska11 [484]

Answer:

t(5)=600.................

6 0
3 years ago
A pan of warm water (46∘ Celsius) was put in a refrigerator. After 15 minutes, the water's temperature was 27∘ C; 15 minutes aft
Cloud [144]

Answer:

The refrigerator was at around 13 ∘C

Step-by-step explanation:

Newton's Law of Cooling:

The rate of change of a body temperature  (amount of heat loss/time of loss) is directly proportional to the difference between its own temperature and the surroundings.

\frac{T(t2)-T(t1)}{t2-t1} = -h (T(t2) - Tenv)

T ⇒ temperature

t ⇒ time

Tenv ⇒refrigerator temperature

\frac{T(t2)-T(t1)}{t2-t1} ⇒ rate of change of he temperature

-h ⇒ constant of proportionality (negative because the temperature is decreasing inside the refrigerator)

We have 3 points:

time (minutes) - Temperature (∘ C)

0 (when the pan was put in the refrigerator) - 46

15 (after 15 minutes) - 27

30 (15 minutes after the first 15 minutes) - 19

\frac{27 - 46}{15 - 0} = -h (27 - Tenv)

\frac{19 - 27}{15 - 0} = -h (19 - Tenv)

Now we have a system of two equations and two variables

\frac{-19}{15} = -h (27 - Tenv)\\ \frac{19}{15} = h (27 - Tenv)\\ \frac{19}{15(27 - Tenv)} = h

\frac{19 - 27}{15 - 0} = -h (19 - Tenv)\\\frac{-8}{15} = -h (19 - Tenv)\\\frac{8}{15} = h (19 - Tenv)\\\frac{8}{15} = \frac{19}{15(27 - Tenv)} (19 - Tenv)\\8(27 - Tenv) = 19 (19 - Tenv)\\216 - 8 Tenv = 361 - 19 Tenv\\19 Tenv - 8 Tenv = 361 - 216\\11 Tenv = 145 \\Tenv = 145/ 11\\Tenv = 13. 18

The refrigerator was at around 13 ∘C

6 0
3 years ago
Let f(x)=7x-4 <br><br> what is f(6)?
soldi70 [24.7K]

Answer:

38

Step-by-step explanation:

To find the value of f(6), we substitute the value 6 where x is into the function. You would get:

7(6) - 4

42 - 4

f(6) = 38

5 0
2 years ago
Read 2 more answers
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